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Finding the Fourth Proportional to 7,891.72, 10,900.14 and 6,948.28

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Solution

The fourth proportional to 7,891.72, 10,900.14 and 6,948.28 is: 9,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.72 : 10,900.14 = 6,948.28 : x
  2. Step 2: Convert to fraction form
    7,891.72/10,900.14 = 6,948.28/x
  3. Step 3: Cross multiply
    7,891.72x = 10,900.14 × 6,948.28
  4. Step 4: Simplify right side
    7,891.72x = 75,737,224.76
  5. Step 5: Solve for x
    x = 75,737,224.76/7,891.72
  6. Step 6: Final answer
    x = 9,597.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.